MODE-LOCKING IN QUASIPERIODICALLY FORCED SYSTEMS WITH VERY SMALL DRIVING FREQUENCY

DOI10.1142/S0218127404010278zbMath1129.37328MaRDI QIDQ4655647

Anna Vasylenko, Ulrike Feudel, Yuri Maistrenko, Orla Feeley

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

invariant curveArnol'd tonguesmode-locking regions

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99) Smooth dynamical systems: general theory (37C99)

Cites Work

• Strange attractors that are not chaotic
• Quasiperiodically forced dynamical systems with strange nonchaotic attractors
• The birth of strange nonchaotic attractors
• Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps
• Birth of strange nonchaotic attractors due to interior crisis
• The structure of mode-locked regions in quasi-periodically forced circle maps
• Strange non-chaotic attractor in a quasiperiodically forced circle map
• Fine structure of mode-locked regions of the quasi-periodically forced circle map
• Route to chaos via strange non-chaotic attractors
• Cardiac arrhythmias and circle mappings^a)
• Characterizing strange nonchaotic attractors
• MULTISTABILITY AND NONSMOOTH BIFURCATIONS IN THE QUASIPERIODICALLY FORCED CIRCLE MAP

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